If the accretion disk around a neutron star has a radius of 2 × 105 km, what is the orbital velocity of a particle at its outer edge?
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Q: If the accretion disk around a neutron star has a radius of 8 ✕ 105 km, what is the orbital velocity…
A: Given Data: The radius of the neutron star is r = 8 x 105 km. As we know that the mass of the…
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Q: GM What is the orbital period of a bit of matter in an accretion disk that is located 3 x 105 km…
A: Time period was found to be 526 seconds So answer to fill in blank is 526. Detailed solution is…
Q: What is the orbital period (in s) of a bit of matter in an accretion disk that is located 6 ✕ 105 km…
A: Write the given values with the suitable variables. r=6×105 km=6×108 mM=99Mo=992×1030 kg=198×1030 kg…
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A: Gravitational force of earth’s surface = Gravitational force of star GMN mr2=mg r= G MNg
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A: The orbital period is, T=2πrvorbitvorbit=GM'r⇒T=2πrGM'r
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- After the Sun exhausts its nuclear fuel, its ultimate fate may be to collapse to a white dwarf state. In this state, it would have approximately the same mass as it has now, but its radius would be equal to the radius of the Earth.Calculate the average density of the white dwarf.Calculate the surface free-fall acceleration.Calculate the gravitational potential energy associated with a 6.69-kg object at the surface of the white dwarf.I'm stumped on this question: A clump of matter does not need to be extraordinarily dense in order to have an escape velocity greater than the speed of light, as long as its mass is large enough. You can use the formula for the Schwarzschild radius RS to calculate the volume, 4/3 πRS^3, inside the event horizon of a black hole of mass M. What does the mass of a black hole need to be in order for its mass divided by its volume to be equal to the density of water (1g/cm^3)? I'm not sure where to begin in findng the answer. It feels as if I'm missing information.As6
- Suppose we represent an ordinary star as a uniform solid rigid sphere. The star’s initial radius is 644000 km (comparableto the size of our sun). After it collapses, forming a neutron star, its final radius is only 18.3 km! If the original starmakes one complete rotation about its axis once per month (every 30 days), find the neutron star’s period of rotationjust after the original star has collapsed.Tafter = (in s)Supermassive black holes are thought to exist in the centers of some galaxies. What would be the Schwarzschild radii of black holes of 1 million and 1 billion solar masses? How does the first black hole compare in size with the Sun? How does the second compare in size with the solar system?What is the orbital period of a bit of matter in an accretion disk 9 ✕ 105 km from a 57-solar-mass black hole?
- Suppose that the radius of the Sun were increased to 5.90 * 10^12 m (the average radius of the orbit of Pluto), that the density of this expanded Sun were uniform, and that the planets revolved within this tenuous object. (a) Calculate Earth’s orbital speed in this new configuration. (b) What is the ratio of the orbital speed calculated in (a) to Earth’s present orbital speed of 29.8 km/s? Assume that the radius of Earth’s orbit remains unchanged. (c) What would be Earth’s new period of revolution? (The Sun’s mass remains unchanged.)In 1999, scientists discovered a new class of black holes with masses 100 to 10,000 times the mass of our sun that occupy less space than our moon. Suppose that one of these black holes has a mass of 1x10^3 suns and a radius equal to one-half the radius of our moon. What is the density of the black hole in g/cm^3? The radius of our sun is 7.0x10^5 km, and it has an average density of 1.4x10^3 kg/m^3. The diameter of the moon is 2.16x10^3 miles.The star HD 69830's mass is 1.7 ✕ 1030 kg, its radius is 6.3 ✕ 105 km, and it has a rotational period of approximately 35 days. If HD 69830 should collapse into a white dwarf of radius 7.8 ✕ 103 km, what would its period (in s) be if no mass were ejected and a sphere of uniform density can model HD 69830 both before and after?
- 3 From Wikipedia: "Various sources state the first Death Star has a diameter of approximately 140 kilometers." A) In order to stand on the surface of the Death Star and experience the familiar gravitational acceleration of g = 9.8 m/s², what is the required mass of the Death Star? Calculate the density as well (yikes!) B) An escape pod is now launched from the surface of the Death Star at speed v₁ = 760 m/s. How fast is the pod moving when it reaches a distance of 130 km from the center of the Death Star? StarThe sun orbits the center of the Milky Way galaxy for a period of 2.5x10^8 years. (a) Assuming a circular orbit of radius 2.4x10^20 m, compute the mass of the Milky Way. (b) Estimate the number of stars in the Milky Way, assuming the average star mass equals the mass of the sun—2.0x10^30 kgWhat is the orbital period of a bit of matter in an accretion disk 5 ✕ 105 km from a 69-solar-mass black hole?